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Journal of Dental Research
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Clinical

Unification of the "Burst" and "Linear" Theories of Periodontal Disease Progression: A Multilevel Manifestation of the Same Phenomenon

M.S. Gilthorpe1,*, A.T. Zamzuri2, G.S. Griffiths3, I.H. Maddick4, K.A. Eaton3 and N.W. Johnson5

1 Biostatistics Unit, Academic Unit of Epidemiology and Health Services Research, Medical School, University of Leeds, 24 Hyde Terrace, Leeds, LS2 9LN, UK;
2 Dental Training School Malaysia, No 3 Sepoy Lines Road, 10450 Penang, Malaysia;
3 Department of Periodontology &
4 Department of Paediatric Dentistry, Eastman Dental Institute, University College London, 256 Gray’s Inn Road, London, UK; and
5 Department of Oral and Maxillofacial Medicine and Pathology, Guy’s King’s and St Thomas’ Schools of Medicine, Dentistry and Biomedical Sciences, Caldecot Rd, London, UK;

Correspondence: *corresponding author, m.s.gilthorpe{at}leeds.ac.uk

Previously, burst and linear theories for periodontal disease progression were proposed based on different but limited statistical methods of analysis. Multilevel modeling provides a new approach, yielding a more comprehensive model. Random coefficient models were used to analyze longitudinal periodontal data consisting of repeated measures (level 1), sites (level 2), teeth (level 3), and subjects (level 4). Large negative and highly significant correlations between random linear and quadratic time coefficients indicated that subjects and teeth with greater-than-average linear change experienced decelerated variation. Conversely, subjects and teeth with less-than-average linear change experienced accelerated variation. Change therefore exhibited a dynamic regression to the mean at the tooth and subject levels. Since no equilibrium was attained throughout the study, changes were cyclical. When considered as a multilevel system, the "linear" and "burst" theories of periodontal disease progression are a manifestation of the same phenomenon: Some sites improve while others progress, in a cyclical manner.

Key Words: multilevel modeling • hierarchical linear modeling • random coefficients • lifetime cumulative attachment loss • pocket probing depth

Journal of Dental Research, Vol. 82, No. 3, 200-205 (2003)
DOI: 10.1177/154405910308200310


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